I've always had a soft spot for Henry II, Edward I was excellent at thrashing the Celts, while Edward III's run of victories against the French endears him to one, but generally you're right: a bad lot.
Yup. The occupation of Paris under him after Agincourt makes the Warsaw Ghetto look like Butlins, but all accounts.*
{*Some bloke off In Our Time, and I don't think he used those exact words, but said it was despicable, even by the standards of late-medieval warfare.}